SOLUTION: In a normal deck of 52 cards what is the probability that the card is a) divisible by 3 b) a 7 of any suit or a diamond

Question 1115400: In a normal deck of 52 cards what is the probability that the card is
a) divisible by 3
b) a 7 of any suit or a diamond
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
In a normal deck of 52 cards what is the probability that a card drawn is
a) divisible by 3
b) a 7 of any suit or a diamond
====================================================
a) divisible by 3: those are cards with rank 3, 6, or 9. Arguably one could include Q as well, it depends on the game. Many games treat all face cards as "10" but in games like poker, Q is greater than 10.

Using 3,6, or 9 only: P(3,6,or 9) = 12/52 =
Using 3,6,9, or Q: P(3,6,9, or Q) = 16/52 =

b) There are four 7's and 13 diamonds: 4/52 + 13/52 = 17/52
However, the 7 of diamonds has been counted twice, so the answer is 17/52 - 1/52 = 16/52 =

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